Energy decay for the wave equation with a degenerate dissipative term

DOI10.1017/S0308210500013603zbMath0588.35055OpenAlexW1995087362MaRDI QIDQ3715526

Mitsuhiro Nakao

Publication date: 1985

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500013603

zbMATH Keywords

compatibility conditionbounded domainenergy decaydamped wave-equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05)

Related Items

Decay and periodic solution for semilinear parabolic equations with a noninvertible linear operator ⋮ On the order of exponential growth of the solution of certain linear operator equations with lagging arguments ⋮ Decay of solutions of the wave equation with some localized dissipations ⋮ Existence of global smooth solutions to the initial-boundary value problem for the quasi-linear wave equation with a degenerate dissipative term ⋮ Global existence of classical solutions to the initial-boundary value problem of the semilinear wave equations with a degenerate dissipative term ⋮ Decay of solutions of the wave equation with a local degenerate dissipation

Cites Work

• A comparison theorem for difference inequalities
• Decay rates for weakly damped systems in Hilbert space obtained with control-theoretic methods
• Qualitative behavior of dissipative wave equations on bounded domains
• A difference inequality and its application to nonlinear evolution equations
• Mixed problems for hyperbolic equations of second order